关键词: Topology of uniform convergence, compact subsets of the unit disk, extreme point, support point

Abstract:

Suppose that {bn} and {cn} are two positive sequences. Let F({bn}, {cn}) = {f(z) : f(z) is analytic in |z| < 1, f(z) = z − P+1 n=2 anzn, an  0,P+1 n=2 bnan  1 and P+1 n=2 cnan  1}. This article obtains the extreme points and support points of F({bn}, {cn}).

Key words: Topology of uniform convergence, compact subsets of the unit disk, extreme point, support point